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An automatic domain splitting technique to propagate uncertainties in highly nonlinear orbital dynamics

Wittig, A, Di Lizia, P, Armellin, R, Zazzera, FB, Makino, K and Berzş, M (2014) An automatic domain splitting technique to propagate uncertainties in highly nonlinear orbital dynamics In: 24th AAS/AIAA Space Flight Mechanics Meeting, 2014, 2014-01-26 - 2014-01-30, Santa Fe, U.S.A..

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Abstract

Current approaches to uncertainty propagation in astrodynamics mainly refer to linearized models or Monte Carlo simulations. Naive linear methods fail in nonlinear dynamics, whereas Monte Carlo simulations tend to be computationally intensive. Differential algebra has already proven to be an efficient compromise by replacing thousands of pointwise integrations of Monte Carlo runs with the fast evaluation of the arbitrary order Taylor expansion of the flow of the dynamics. However, the current implementation of the DA-based high-order uncertainty propagator fails in highly nonlinear dynamics or long term propagation. We solve this issue by introducing automatic domain splitting. During propagation, the polynomial of the current state is split in two polynomials when its accuracy reaches a given threshold. The resulting polynomials accurately track uncertainties, even in highly nonlinear dynamics. The method is tested on the propagation of (99942) Apophis post-encounter motion.

Item Type: Conference or Workshop Item (Conference Paper)
Subjects : Electronic Engineering
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
AuthorsEmailORCID
Wittig, AUNSPECIFIEDUNSPECIFIED
Di Lizia, PUNSPECIFIEDUNSPECIFIED
Armellin, RUNSPECIFIEDUNSPECIFIED
Zazzera, FBUNSPECIFIEDUNSPECIFIED
Makino, KUNSPECIFIEDUNSPECIFIED
Berzş, MUNSPECIFIEDUNSPECIFIED
Date : 2014
Copyright Disclaimer : Copyright 2014 by AMERICAN ASTRONAUTICAL SOCIETY
Contributors :
ContributionNameEmailORCID
EditorWilson, RSUNSPECIFIEDUNSPECIFIED
EditorZanetti, RUNSPECIFIEDUNSPECIFIED
EditorMackison, DLUNSPECIFIEDUNSPECIFIED
EditorAbdelkhalik, OUNSPECIFIEDUNSPECIFIED
PublisherUnivelt Inc., UNSPECIFIEDUNSPECIFIED
Uncontrolled Keywords : Polynomials, Space flight, Algebra
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 05 Dec 2016 10:38
Last Modified : 05 Dec 2016 10:39
URI: http://epubs.surrey.ac.uk/id/eprint/813032

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